Final answer:
To find the initial temperature of the gas, we can use Charles's Law and the formula V1/T1 = V2/T2. By substituting the known values and solving for T1, we find that the initial temperature of the gas was 86.67 °C.
Step-by-step explanation:
The question is asking for the temperature of a gas before it was heated. To find the initial temperature, we can use the formula for Charles's Law, which states that the volume of a gas is directly proportional to its temperature at constant pressure. In this case, the volume of the gas changed from 250 mL to 375 mL when heated to 130 °C. So, we need to find the initial temperature that corresponds to a volume of 250 mL.
Using the formula V1/T1 = V2/T2, where V1 = initial volume, T1 = initial temperature, V2 = final volume, and T2 = final temperature, we can substitute the known values and solve for T1.
V1 = 250 mL, T2 = 130 °C, and V2 = 375 mL. Plugging these values into the formula, we get:
250 mL/T1 = 375 mL/130 °C
Next, we can cross-multiply and solve for T1:
250 mL * 130 °C = 375 mL * T1
T1 = (250 mL * 130 °C) / 375 mL
T1 = 86.67 °C
Therefore, the temperature of the gas before it was heated was 86.67 °C.